Search a number
-
+
12011122201 = 13271071729
BaseRepresentation
bin10110010111110101…
…10010111000011001
31011000002001020010211
423023322302320121
5144044321402301
65303504011121
7603434565661
oct131372627031
934002036124
1012011122201
115103a68981
1223b2600aa1
13119555a100
1481d2b51a1
154a471b051
hex2cbeb2e19

12011122201 has 6 divisors (see below), whose sum is σ = 13006126590. Its totient is φ = 11087189568.

The previous prime is 12011122199. The next prime is 12011122219. The reversal of 12011122201 is 10222111021.

It can be written as a sum of positive squares in 3 ways, for example, as 954810000 + 11056312201 = 30900^2 + 105149^2 .

It is not a de Polignac number, because 12011122201 - 21 = 12011122199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011122601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35535696 + ... + 35536033.

It is an arithmetic number, because the mean of its divisors is an integer number (2167687765).

Almost surely, 212011122201 is an apocalyptic number.

It is an amenable number.

12011122201 is a deficient number, since it is larger than the sum of its proper divisors (995004389).

12011122201 is an equidigital number, since it uses as much as digits as its factorization.

12011122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71071755 (or 71071742 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12011122201 its reverse (10222111021), we get a palindrome (22233233222).

The spelling of 12011122201 in words is "twelve billion, eleven million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 13 169 71071729 923932477 12011122201